Linear Regression

Nonfiction, Science & Nature, Mathematics, Statistics, Computers, Application Software
Cover of the book Linear Regression by David J. Olive, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David J. Olive ISBN: 9783319552521
Publisher: Springer International Publishing Publication: April 18, 2017
Imprint: Springer Language: English
Author: David J. Olive
ISBN: 9783319552521
Publisher: Springer International Publishing
Publication: April 18, 2017
Imprint: Springer
Language: English

This text covers both multiple linear regression and some experimental design models. The text uses the response plot to visualize the model and to detect outliers, does not assume that the error distribution has a known parametric distribution, develops prediction intervals that work when the error distribution is unknown, suggests bootstrap hypothesis tests that may be useful for inference after variable selection, and develops prediction regions and large sample theory for the multivariate linear regression model that has m response variables. A relationship between multivariate prediction regions and confidence regions provides a simple way to bootstrap confidence regions. These confidence regions often provide a practical method for testing hypotheses. There is also a chapter on generalized linear models and generalized additive models.

There are many R functions to produce response and residual plots, to simulate prediction intervals and hypothesis tests, to detect outliers, and to choose response transformations for multiple linear regression or experimental design models.

This text is for graduates and undergraduates with a strong mathematical background. The prerequisites for this text are linear algebra and a calculus based course in statistics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This text covers both multiple linear regression and some experimental design models. The text uses the response plot to visualize the model and to detect outliers, does not assume that the error distribution has a known parametric distribution, develops prediction intervals that work when the error distribution is unknown, suggests bootstrap hypothesis tests that may be useful for inference after variable selection, and develops prediction regions and large sample theory for the multivariate linear regression model that has m response variables. A relationship between multivariate prediction regions and confidence regions provides a simple way to bootstrap confidence regions. These confidence regions often provide a practical method for testing hypotheses. There is also a chapter on generalized linear models and generalized additive models.

There are many R functions to produce response and residual plots, to simulate prediction intervals and hypothesis tests, to detect outliers, and to choose response transformations for multiple linear regression or experimental design models.

This text is for graduates and undergraduates with a strong mathematical background. The prerequisites for this text are linear algebra and a calculus based course in statistics.

More books from Springer International Publishing

Cover of the book Advances in National Brand and Private Label Marketing by David J. Olive
Cover of the book School Memories by David J. Olive
Cover of the book A Concise Introduction to Elastic Solids by David J. Olive
Cover of the book Credibility, Validity, and Assumptions in Program Evaluation Methodology by David J. Olive
Cover of the book The Storied Nature of Human Life by David J. Olive
Cover of the book Rainbows in Channeling of Charged Particles in Crystals and Nanotubes by David J. Olive
Cover of the book Utilization Management in the Clinical Laboratory and Other Ancillary Services by David J. Olive
Cover of the book Novel Aspects of Diamond by David J. Olive
Cover of the book Urban Land Economics by David J. Olive
Cover of the book Astronomy of the Milky Way by David J. Olive
Cover of the book Advances in Service-Oriented and Cloud Computing by David J. Olive
Cover of the book Bank Credit Extension and Real Economic Activity in South Africa by David J. Olive
Cover of the book Biomedical Signals and Sensors III by David J. Olive
Cover of the book Vision Infinity for Food Security by David J. Olive
Cover of the book Neurotropic Viral Infections by David J. Olive
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy